a solid cyclinder has total surface area of 231cm2 its curved surface area is 2/3 of the total surface area. find the volume of the cylinder.
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TSA=231
LSA=2/3 of tsa
2/3×231=154
TSA=2πr(r+h)
=2πr^2+2πrh=231
2πr^2+154=231 231-154=77
77/2π=r^2. 77×7÷2×22=49/4=r^2
r=7/2
2πrh=154
2×22÷7×7÷2×h=154
h=7
volume=πr^2h
22/7×7/2×7/2×7=269.5
LSA=2/3 of tsa
2/3×231=154
TSA=2πr(r+h)
=2πr^2+2πrh=231
2πr^2+154=231 231-154=77
77/2π=r^2. 77×7÷2×22=49/4=r^2
r=7/2
2πrh=154
2×22÷7×7÷2×h=154
h=7
volume=πr^2h
22/7×7/2×7/2×7=269.5
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